One gas of $n_1$ mole of molecules at temperature $T_1$, volume $V_1$, and pressure $P_1$, and another gas of $n_2$ mole of molecules at temperature $T_2$, volume $V_2$, and pressure $P_2$, are mixed resulting in pressure $P$ and volume V of the mixture. The temperature of the mixture is $\_\_\_\_$ .
Select the correct option:
A
$\left(T_1+T_2\right) / 2$
B
$T_1 T_2 P V /\left(T_2 P_1 V_1+T_1 P_2 V_2\right)$
C
$\left(T_2 P_1 V_1+T_1 P_2 V_2\right) /\left(T_1 T_2 P V\right)$
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